160 Result(s)
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Article
A stream tube model for miscible flow
Large-scale dispersion in heterogeneous porous media is studied by using a simple model based on stochastic calculation of convective flow in a bundle of stream tubes. The advantage of this approach is that th...
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Article
Modeling full-tensor anisotropy in groundwater flow via an iterative scheme for mixed finite elements
This paper presents an iterative scheme for the efficient simulation of groundwater flow in a two-dimensional, heterogeneous aquifer in which the hydraulic conductivity is anisotropic. The scheme is applicable...
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An Approximate Solution for Fluid Infiltration near a Circular Opening in Unsaturated Media
A regular perturbation technique is employed to approximate the solution for fluid infiltration from a circular opening into an unsaturated medium. Introducing two empirical constitutive relations ...
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Article
An Alternative Description of Viscous Coupling in Two-Phase Flow through Porous Media
A new formalism is developed to describe the viscous coupling phenomena between two immiscible, flowing fluids in porous media. The formulation is based on the notation of ‘two-phase mixture’ in which the rela...
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Article
An N-dynamics Model for Predicting N-behavior Subject to Environmentally Friendly Fertilization Practices :I – Mathematical Model
Abstract. In order to increase the efficiency of nitrogen (N) use, and to reduce the potential for environmemtal contamination, certain Environmentally Friendly Fertilization Practices (EFFPs) have been propos...
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A N‐dynamics Model for Predicting N‐behavior Subject to Environmentally Friendly Fertilization Practices: II –Numerical Model and Model Validation
Nitrogen dynamics in the soil under the condition of environmentally friendly fertilization practices (EFFPs) is described by a comprehensive N‐dynamics model. The model (first paper of this series, Transport ...
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Flows Through Porous Media: A Theoretical Development at Macroscale
Good separation of microscale with macroscale leads to the existence of a macroscale description of flows through porous media. Such a macroscale description is developed in a systematic and rigorous way throu...
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Article
Tidal Effects on Groundwater Motions
Assuming a sharp interface between freshwater and seawater within a coastal aquifer, a theory is developed to account for the piezometric head movement of steady and unsteady components in terms of large- and ...
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Article
Convective Stability in a Rectangular Box of Fluid-Saturated Porous Medium with Constant Pressure Top and Constant Flux Bottom Heating
A fluid-saturated porous medium in a rectangular box is heated from below by constant flux. The top is open at constant pressure and the sides are insulated. Linear free convection stability analysis yields a ...
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Article
Slow Viscous Flow Between Hexagonal Cylinders
The cree** flow between packed hexagonal cylinders is solved by eigenfunction expansions and point match methods. Both longitudinal flow and transverse flow are considered. It is found that the junction, whi...
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Article
Four-Component Gas/Oil Displacements in One Dimension: Part I: Global Triangular Structure
This paper presents an analysis of the mathematical structure of three-component and four-component gas displacements. The structure of one-dimensional flows in which components partition between two phases is...
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Four-Component Gas/Oil Displacements in One Dimension: Part II: Analytical Solutions for Constant Equilibrium Ratios
In this paper we derive closed form solutions for composition paths (integral curves of eigenvectors) for three- and four-component systems with constant equilibrium K-values, and we report example solutions that...
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Numerical Modelling of Swelling Pressure in Unsaturated Expansive Elasto-Plastic Porous Media
The focus of this work is to provide a new concept for accessing the swelling stress in expansive porous media, especially in highly compacted bentonite. The key to the new approach is the simulation with a ch...
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Article
A new simulation framework for predicting the onset and effects of fines mobilization
Fines release and migration is a universal problem in the production of oil from poorly consolidated sandstone reservoirs. This problem can result in the changes of porosity and permeability. It may not only d...
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Article
Fluid transfer between tubes in interacting capillary bundle models
The interacting capillary bundle model proposed by Dong et al. [Dong, M., Dullien, F.A.L., Zhou, J.: Trans. Porous Media 31, 213–237 (1998); Dong, M., Dullien, F.A.L., Dai, L., Li, D.: Trans. Porous Media 59, 1–1...
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Article
Transfer model and kinetic characteristics of \({\rm NH}_{4}^{+}\) –K+ ion exchange on K-zeolite
Based on the mass transfer theory, a new mass transfer model of ion-exchange process on zeolite under liquid film diffusion control is established, and the kinetic curves and the mass transfer coefficients of ...
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Article
Analytical Solution for Forced Convection in a Semi-Circular Channel Filled with a Porous Medium
Fully developed laminar forced convection inside a semi-circular channel filled with a Brinkman-Darcy porous medium is studied. Analytical solutions for flow and constant flux heat transfer are found using a m...
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Article
Numerical Study of Natural Convection Heat Transfer in an Inclined Porous Cavity with Time-Periodic Boundary Conditions
Kalabin et al. (Numer. Heat Transfer A 47, 621-631, 2005) studied the unsteady natural convection for the sinusoidal oscillating wall temperature on one side wall and constant average temperature on the opposing ...
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Article
The Starting Flow in Ducts Filled with a Darcy–Brinkman Medium
Analytical solutions are found for the transient starting flow due to a sudden pressure gradient in cylindrical, rectangular, and parallel plate ducts fill with a Darcy– Brinkman porous medium. It is found tha...
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Article
Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study
A laboratory study was undertaken on the transport and the deposition of suspended particles (silt of modal diametre 6 µm) in three columns of different length, filled with glass beads or gravel. Tracer tests ...